| Record ID | marc_columbia/Columbia-extract-20221130-004.mrc:425887494:2656 |
| Source | marc_columbia |
| Download Link | /show-records/marc_columbia/Columbia-extract-20221130-004.mrc:425887494:2656?format=raw |
LEADER: 02656mam a2200373 a 4500
001 1829884
005 20220609004537.0
008 950825s1996 enka b 001 0 eng
010 $a 95040924
020 $a052147504X (hc)
035 $a(OCoLC)ocm33102408
035 $9ALR2458CU
035 $a(NNC)1829884
035 $a1829884
040 $aDLC$cDLC$dC#P$dOrLoB-B
050 00 $aQC174.85.P45$bM44 1996
082 00 $a530.1/3$220
100 1 $aMeester, Ronald.$0http://id.loc.gov/authorities/names/n95084974
245 10 $aContinuum percolation /$cRonald Meester, Rahul Roy.
260 $aCambridge ;$aNew York :$bCambridge University Press,$c1996.
300 $ax, 238 pages :$billustrations ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aCambridge tracts in mathematics ;$v119
504 $aIncludes bibliographical references (p. 233-235) and index.
505 00 $g1.$tIntroduction --$g2.$tBasic methods --$g3.$tOccupancy and Poisson Boolean models --$g4.$tVacancy in Poisson Boolean models --$g5.$tDistinguishing features of the Poisson Boolean model --$g6.$tThe Poisson random-connection model --$g7.$tModels driven by general processes --$g8.$tOther continuum percolation models.
520 $aThis book is the first systematic and rigorous account of continuum percolation. The authors treat two models, the Boolean model and the random connection model, in detail and discuss a number of related continuum models. Where appropriate, they make clear connections between discrete percolation and continuum percolation.
520 8 $aAll important techniques and methods are explained and applied to obtain results on the existence of phase transitions, equality of certain critical densities, continuity of critical densities with respect to distributions, uniqueness of the unbounded component, covered volume fractions, compression, rarefaction, and so on. The book is self-contained, assuming familiarity only with measure theory and basic probability theory.
520 8 $aThe approach makes use of simple ergodic theory, but the underlying geometric ideas are always made clear. Continuum Percolation will appeal to students and researchers in probability and stochastic geometry.
650 0 $aPercolation (Statistical physics)$0http://id.loc.gov/authorities/subjects/sh85099732
650 0 $aStochastic processes.$0http://id.loc.gov/authorities/subjects/sh85128181
700 1 $aRoy, Rahul.$0http://id.loc.gov/authorities/names/n95084977
830 0 $aCambridge tracts in mathematics ;$v119.$0http://id.loc.gov/authorities/names/n42005726
852 00 $bmat$hQC174.85.P45$iM44 1996